Theorems · Definition · linear algebra
PEquiv.toMatrix
{m : Type u_3} → {n : Type u_4} → {α : Type u_5} → [DecidableEq n] → [Zero α] → [One α] → (m ≃. n) → Matrix m n αtoMatrix returns a matrix containing ones and zeros. f.toMatrix i j is 1 if
f i = some j and 0 otherwise
- Defined in
- Mathlib.Data.Matrix.PEquiv
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEqZeroOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Matrixstatement · cited by 4,303
- Matrix.ofproof · cited by 336
- PEquivstatement and proof · cited by 75
Cited by26
Results whose statement or proof uses this declaration.
- Equiv.Perm.permMatrixproof · cited by 25
- PEquiv.toMatrix_toPEquiv_mulstatement · cited by 3
- PEquiv.toMatrix_transstatement and proof · cited by 3
- Matrix.transpose_permMatrixproof · cited by 2
- PEquiv.toMatrix_mul_applystatement · cited by 2
- PEquiv.toMatrix_toPEquiv_mulVecstatement · cited by 2
- PEquiv.vecMul_toMatrix_toPEquivstatement · cited by 2
- PEquiv.mul_toMatrix_toPEquivstatement · cited by 2
- PEquiv.toMatrix_botstatement · cited by 1
- PEquiv.toMatrix_reflstatement · cited by 1
- PEquiv.toMatrix_symmstatement · cited by 1
- PEquiv.toMatrix_toPEquiv_applystatement · cited by 1